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100243002000 = 2435316707167
BaseRepresentation
bin101110101011011110…
…0101101001010010000
3100120202002220010022210
41131112330231022100
53120244202031000
6114015003232120
710146054313101
oct1352674551220
9316662803283
10100243002000
113957061a0a9
1217517218640
1395b6c71acb
144bcd4383a8
15291a73a350
hex1756f2d290

100243002000 has 80 divisors (see below), whose sum is σ = 323183457792. Its totient is φ = 26731465600.

The previous prime is 100243001983. The next prime is 100243002001. The reversal of 100243002000 is 200342001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100243002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8347584 + ... + 8359583.

Almost surely, 2100243002000 is an apocalyptic number.

100243002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100243002000 is an abundant number, since it is smaller than the sum of its proper divisors (222940455792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100243002000 is a wasteful number, since it uses less digits than its factorization.

100243002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16707193 (or 16707177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100243002000 its reverse (200342001), we get a palindrome (100443344001).

The spelling of 100243002000 in words is "one hundred billion, two hundred forty-three million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 16707167 33414334 50121501 66828668 83535835 100243002 133657336 167071670 200486004 250607505 267314672 334143340 400972008 417679175 501215010 668286680 801944016 835358350 1002430020 1253037525 1336573360 1670716700 2004860040 2088395875 2506075050 3341433400 4009720080 4176791750 5012150100 6265187625 6682866800 8353583500 10024300200 12530375250 16707167000 20048600400 25060750500 33414334000 50121501000 100243002000